922 citations · 7.2k across the 348 of their papers we have counts for
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Special Lagrangian cycles and Calabi-Yau transitions
Tristan C. Collins, Sergei Gukov, Sebastien Picard +1
We construct special Lagrangian 3-spheres in non-Kähler compact threefolds equipped with the Fu-Li-Yau geometry. These non-Kähler geometries emerge from topological transitions of…
A new flow solving the LYZ equation in Kähler geometry
Jixiang Fu, Shing-Tung Yau, Dekai Zhang
We introduced a new flow to the LYZ equation on a compact Kähler manifold. We first show the existence of the longtime solution of the flow. We then show that under the Collins-Jac…
Stability of the tangent bundle through conifold transitions
Tristan C. Collins, Sebastien Picard, Shing-Tung Yau
Let be a compact, Kähler, Calabi-Yau threefold and suppose , for , is a conifold transition obtained by contracting finitely many d…
The Positive Mass Theorem with Arbitrary Ends
Martin Lesourd, Ryan Unger, Shing-Tung Yau
We prove a Riemannian positive mass theorem for manifolds with a single asymptotically flat end, but otherwise arbitrary other ends, which can be incomplete and contain negative sc…
Ricci-flat graphs with maximum degree at most 4
Shuliang Bai, Linyuan Lu, Shing-Tung Yau
A graph is called Ricci-flat if its Ricci curvatures vanish on all edges, here the definition of Ricci curvature on graphs was given by Lin-Lu-Yau. The authors in arXiv:1301.0102 a…